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Finding the Fourth Proportional to 19,667.82, 27,141.90 and 10,715.34

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Solution

The fourth proportional to 19,667.82, 27,141.90 and 10,715.34 is: 14,787.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,667.82 : 27,141.90 = 10,715.34 : x
  2. Step 2: Convert to fraction form
    19,667.82/27,141.90 = 10,715.34/x
  3. Step 3: Cross multiply
    19,667.82x = 27,141.90 × 10,715.34
  4. Step 4: Simplify right side
    19,667.82x = 290,834,686.75
  5. Step 5: Solve for x
    x = 290,834,686.75/19,667.82
  6. Step 6: Final answer
    x = 14,787.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.